Phys. Rev. Lett. 84, 5255–5257 (2000)Logarithmic Correction to the Bekenstein-Hawking EntropyReceived 17 February 2000; published in the issue dated 5 June 2000 The exact formula derived by us earlier for the entropy of a four dimensional nonrotating black hole within the quantum geometry formulation of the event horizon in terms of boundary states of a three dimensional Chern-Simons theory is reexamined for large horizon areas. In addition to the semiclassical Bekenstein-Hawking contribution proportional to the area obtained earlier, we find a contribution proportional to the logarithm of the area together with subleading corrections that constitute a series in inverse powers of the area. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.5255
DOI:
10.1103/PhysRevLett.84.5255
PACS:
04.70.Dy, 04.60.-m, 04.62.+v, 11.10.Gh
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